Returns true if all of the expressions in f are mathematically independent of all the names contained in x.

The definition of mathematical dependence is that used by depends. For more information, see depends.

$\mathrm{type}\left(x\,\mathrm{freeof}\left(\left\{x\,y\right\}\right)\right)$

$\mathrm{false}$

$\mathrm{type}\left(\left[a\,b\right]\,\mathrm{freeof}\left(\left[c\,d\right]\right)\right)$

$\mathrm{true}$

$\mathrm{type}\left(x^y\,{\mathrm{identical}\left(x\right)}^{\mathrm{freeof}\left(x\right)}\right)$

$\mathrm{true}$

$\mathrm{type}\left({\∫}_a^{b}f\left(x\right)\ⅆx\,\mathrm{freeof}\left(x\right)\right)$

$\mathrm{true}$

$\mathrm{type}\left({\∫}_a^{b}f\left(x\right)\ⅆx\,\mathrm{freeof}\left(a\right)\right)$

$\mathrm{false}$